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Finding the Fourth Proportional to 9,600.41, 14,401.02 and 4,674.20

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Solution

The fourth proportional to 9,600.41, 14,401.02 and 4,674.20 is: 7,011.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,600.41 : 14,401.02 = 4,674.20 : x
  2. Step 2: Convert to fraction form
    9,600.41/14,401.02 = 4,674.20/x
  3. Step 3: Cross multiply
    9,600.41x = 14,401.02 × 4,674.20
  4. Step 4: Simplify right side
    9,600.41x = 67,313,175.68
  5. Step 5: Solve for x
    x = 67,313,175.68/9,600.41
  6. Step 6: Final answer
    x = 7,011.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.